The cross product of two vectors in R³ is defined by --[1 Let u = 8 . Find the matrix A of the linear transformation from R³ to R³ given by T(*) = ï × #. A = a1 02 a3 -- bi lazbs-asbr] x 62 lashi-asbs Lasbe-asbr] b3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The cross product of two vectors in R³ is defined by
Let ✓ =
A =
[1]
8 . Find the matrix A of the linear transformation from R³ to R³ given by T(x) = × đ.
a2
X
b₁
b₂
b3
=
[a2b3-a3b₂]
| a3b1 — a1b3
[a1b₂-a2b₁]
Transcribed Image Text:The cross product of two vectors in R³ is defined by Let ✓ = A = [1] 8 . Find the matrix A of the linear transformation from R³ to R³ given by T(x) = × đ. a2 X b₁ b₂ b3 = [a2b3-a3b₂] | a3b1 — a1b3 [a1b₂-a2b₁]
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